What is the general solution for cot(x)=tan(25) ?

The general solution for cot(x)=tan(25) is x=1.13446…+180n

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cot(x)=tan(25)

cot (x) = tan (2 5^{\circ})

x = 1.13446 \dots + 18 0^{\circ} n

Radians

x = 1.13446 \dots + πn

Solution steps

cot (x) = tan (2 5^{\circ})

Apply trig inverse properties

cot (x) = tan (2 5^{\circ})

General solutions for

cot (x) = tan (2 5^{\circ})

cot (x) = a \Rightarrow x = arccot (a) + 18 0^{\circ} n

x = arccot (tan (2 5^{\circ})) + 18 0^{\circ} n

x = arccot (tan (2 5^{\circ})) + 18 0^{\circ} n

Show solutions in decimal form

x = 1.13446 \dots + 18 0^{\circ} n

2 sin (2 θ) = cos (2 θ + 3 0^{\circ})

cos^{2} (x) = \frac{3}{2}

2 sin^{2} (x) + cos^{2} (x) + cos (x) - 1 = 0

14 4^{2} = 43.2 7^{2} + 7 2^{2} - 2 \cdot 43.27 \cdot 72 \cdot cos (x)

sin (8 x + 48) = cos (- 4 x + 26)

What is the general solution for cot(x)=tan(25) ?
The general solution for cot(x)=tan(25) is x=1.13446…+180n